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Finding the Fourth Proportional to 13,105.64, 18,080.82 and 8,389.16

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Solution

The fourth proportional to 13,105.64, 18,080.82 and 8,389.16 is: 11,573.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,105.64 : 18,080.82 = 8,389.16 : x
  2. Step 2: Convert to fraction form
    13,105.64/18,080.82 = 8,389.16/x
  3. Step 3: Cross multiply
    13,105.64x = 18,080.82 × 8,389.16
  4. Step 4: Simplify right side
    13,105.64x = 151,682,891.91
  5. Step 5: Solve for x
    x = 151,682,891.91/13,105.64
  6. Step 6: Final answer
    x = 11,573.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.